2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56593A large class of variational equations for geometric objects is studied. The results imply conformal monotonicity and Liouville theorems for steady, polytropic, ideal flow, and the regularity of weak solutions to generalized Yang-Mills and Born-Infeld systems.16 pages, tcilatex. Thorough revisionMathematical PhysicsDifferential Geometry58E15Uniformly and nonuniformly elliptic variational equations with gauge invariancetext